Answer
No
Work Step by Step
It is not possible for A to be not diagonalizable because it is possible to form the columns of an invertible matrix P because all four eigenvectors are linearly independent.
Linear Algebra and Its Applications (5th Edition)
by Lay, David C.; Lay, Steven R.; McDonald, Judi J.
Published by
Pearson
ISBN 10:
032198238X
ISBN 13:
978-0-32198-238-4
Chapter 5 - Eigenvalues and Eigenvectors - 5.3 Exercises - Page 289: 25
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